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Finding the Third Proportional to 31,914 and 67,862.81

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Solution

The third proportional to 31,914 and 67,862.81 is: 144,305.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,914 : 67,862.81 = 67,862.81 : x
  2. Step 2: Convert to fraction form
    31,914/67,862.81 = 67,862.81/x
  3. Step 3: Cross multiply
    31,914x = 67,862.81 × 67,862.81
  4. Step 4: Simplify right side
    31,914x = 4,605,361,320.41
  5. Step 5: Solve for x
    x = 4,605,361,320.41/31,914
  6. Step 6: Final answer
    x = 144,305.36

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.